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Related papers: Energy Distribution in f(R) Gravity

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We introduce new models of f(R) theories of gravity that are generalization of Horava-Lifshitz gravity.

High Energy Physics - Theory · Physics 2013-05-29 J. Kluson

This paper initiates a program which seeks to study the allowed spatial distributions of negative energy density in quantum field theory. Here we deal with free fields in Minkowski spacetime. Known restrictions on time integrals of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Arvind Borde , L. H. Ford , Thomas A. Roman

The question of the uniqueness of energy-momentum tensors in the linearized general relativity and in the linear massive gravity is analyzed without using variational techniques. We start from a natural ansatz for the form of the tensor…

General Relativity and Quantum Cosmology · Physics 2016-02-16 Jiří Bičák , Josef Schmidt

Aguirregabiria et al showed that Einstein, Landau and Lifshitz, Papapetrou, and Weinberg energy-momentum complexes coincide for all Kerr-Schild metric. Bringely used their general expression of the Kerr-Schild class and found energy and…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ragab M. Gad

In general relativity one of the most fundamental issues consists in defining a generally acceptable definition for the energy-momentum density. As a consequence, many coordinate-dependent definitions have been presented, whereby some of…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Irina Radinschi , Theophanes Grammenos , Andromahi Spanou

We survey the landscape of $f(R)$ theories of gravity in their various formulations, which have been used to model the cosmic acceleration as alternatives to dark energy and dark matter. Besides, we take into account the problem of…

General Relativity and Quantum Cosmology · Physics 2015-05-14 S. Capozziello , M. De Laurentis , V. Faraoni

In the present paper we consider $f(R)$ gravity theories in the metric approach and we derive the equations of motion, focusing also on the boundary conditions. In such a way we apply the general equations to a first order perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 L. Cosmai , G. Fanizza , L. Tedesco

This paper is devoted to investigate gravitational collapse of dust in metric $f(R)$ gravity. We take FRW metric for the interior region while the Schwarzchild spacetime is considered for the exterior region of a star. The junction…

General Relativity and Quantum Cosmology · Physics 2015-07-06 M. Farasat Shamir , Zahid Ahmad , Zahid Raza

We investigate the energy of a theory with a unit vector field (the "aether") coupled to gravity. Both the Weinberg and Einstein type energy-momentum pseudotensors are employed. In the linearized theory we find expressions for the energy…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Christopher Eling

We define and compute the energy of higher curvature gravity theories in arbitrary dimensions. Generically, these theories admit constant curvature vacua (even in the absence of an explicit cosmological constant), and asymptotically…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , Bayram Tekin

In this paper, we explore the energy-momentum distribution of locally rotationally symmetric (LRS) spacetimes in the context of the teleparallel theory of gravity by considering the three metrics, I, II and III, representing the whole class…

General Relativity and Quantum Cosmology · Physics 2015-06-23 M. Jamil Amir , Tahir Nazir

Within the limits of the present cosmological observations in f(R,T) gravity theory, we have analyzed a spherically symmetric space-time in 5D setting. The field equations have been carefully studied considering reasonable cosmological…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Pheiroijam Suranjoy Singh , Kangujam Priyokumar Singh

We consider f(R) modified gravity theories for describing varying speed of light in a spatially flat FRW model, and find some exact solutions. Also we examine the dynamics of this model by dynamical system method assuming a LambdaCDM…

General Relativity and Quantum Cosmology · Physics 2010-02-02 Azam Izadi , Ali Shojai

Over the past decades, General Relativity and the concordance $\Lambda$CDM model have been successfully tested using several different astrophysical and cosmological probes based on large datasets ({\it precision cosmology}). Despite their…

General Relativity and Quantum Cosmology · Physics 2015-08-07 Ivan de Martino , Mariafelicia De Laurentis , Salvatore Capozziello

We consider $f(R, T)$ theory of gravity, where $R$ is the curvature scalar and $T$ the trace of the energy momentum tensor. Attention is attached to the special case, $f(R, T)= R+2f(T)$ and two expressions are assumed for the function…

General Relativity and Quantum Cosmology · Physics 2015-06-05 F. G. Alvarenga , M. J. S. Houndjo , A. V. Monwanou , Jean B. Chabi Orou

The $f(R)$ gravity theory is considered. It is a gravitational theory that generalizes the Einstein-Hilbert action. In this context, a holographic dark energy model is studied. Tsallis non-extensive entropy is used to introduce the dark…

General Relativity and Quantum Cosmology · Physics 2020-12-02 P. S. Ens , A. F. Santos

The purpose of this paper is to illustrate the problem of energy and momentum distributions of Van Stockum space-time within the framework of two different theories of gravity, general relativity and teleparallel gravity. We have shown that…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Ragab M Gad , H. A. Alharbi

We use Moeller's energy-momentum complex in order to explicitly evaluate the energy and momentum density distributions associated with the three-dimensional magnetic solution to the Einstein-Maxwell equations. The magnetic spacetime under…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Th. Grammenos

We argue that the combination of the principles of quantum theory and general relativity allow for a dynamical energy-momentum space. We discuss the freezing of vacuum energy in such a dynamical energy-momentum space and present a…

High Energy Physics - Theory · Physics 2010-12-09 Lay Nam Chang , Djordje Minic , Tatsu Takeuchi

We elaborate the problem of energy-momentum in general relativity by energy-momentum prescriptions theory. In this regard, we calculate M\oller,Landau-Lifshitz, Papapetrou, Einstein, Bergman, Tolman, and Weinberg's energy-momentum complexes…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Amir M. Abbassi , Saeed Mirshekari , Amir H. Abbassi